6429 · 2612782 + 1
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At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

This prime's information:

field (help)value
Description:6429 · 2612782 + 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L1320 : Fredriksen, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:184470   (log10 is 184469.57094639)
Rank (*):29478 (digit rank is 1)
Entrance Rank (*):4861
Currently on list? (*):no
Submitted:1/25/2011 09:05:46 CDT
Last modified:1/25/2011 19:20:24 CDT
Removed (*):1/30/2011 13:33:03 CDT
Database id:97699
Status Flags:none
Score (*):41.4396 (normalized score 0.0655)

Verification data:

The Top 5000 Primes is a list for proven primes only. In order to maintain the integrity of this list, we seek to verify the primality of all submissions.  We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial divide and PRP check every entry before it is included in the list.
fieldvalue
prime_id97699
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 6429 2 612782 1 2>&1
[Elapsed time: 12.366 seconds]
modified2011-12-27 16:48:35
created2011-01-25 09:20:42
id124777

fieldvalue
prime_id97699
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/pfgw -t -q"6429*2^612782+1" 2>&1
PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4]
Primality testing 6429*2^612782+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Using SSE2 FFT
Adjusting authentication level by 1 for PRIMALITY PROOF
Reduced from FFT(81920,20) to FFT(81920,19)
Reduced from FFT(81920,19) to FFT(81920,18)
Reduced from FFT(81920,18) to FFT(81920,17)
Reduced from FFT(81920,17) to FFT(81920,16)
1225598 bit request FFT size=(81920,16)
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
6429*2^612782+1 is prime! (-1933.3373s+0.0000s)
[Elapsed time: 43.42 minutes]
modified2011-03-25 10:27:31
created2011-01-25 18:25:30
id124819

Query times: 0.0005 seconds to select prime, 0.0008 seconds to seek comments.